Linear Parameter Changes Algebra

What is the equation for the parent linear function?

• y = 2x

• y = x

• y = ¼x

• y = x²

Describe the transformation from the parent function.

• Reflection

• Vertical stretch

• Shift up 2 units

• Shift down 2 units

Describe the transformation from the parent function: y = x + 10

• Steeper by 10

• Shift up 10

• Shift down 10

• Flatter by 10

Describe the transformation from the parent function.

• Flatter/Vertical compress

• Steeper/Vertical stretch

• Shift up 3 units

• Shift down 3 units

What is the linear parent function?

• f(x) = x 
• y = mx + b 
• f(x) = 2x 
• f(x)  = y 

How did the equation shift from the parent function? y=x+2

• Shift up 2
• Shift down 2
• steeper
• flipped

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

• The graph of f is shifted 12 units to the right to create the graph of g.

• The graph of f is shifted 12 units down to create the graph of g.

• The graph of f is shifted 12 units up to create the graph of g.

• The graph of f is shifted 12 units to the left to create the graph of g.

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Given the graph above, which equation shifts line down 5 units?

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

• f(x) = 7x
• f(x) = x - 7
• f(x) = x + 7
• f(x) = 7x - 7